138823818651904 has 243 divisors, whose sum is σ = 292108305764457. Its totient is φ = 65843930363904.

The previous prime is 138823818651851. The next prime is 138823818651923. The reversal of 138823818651904 is 409156818328831.

The square root of 138823818651904 is 11782352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72795843074304 + 66027975577600 = 8532048^2 + 8125760^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a self number, because there is not a number n which added to its sum of digits gives 138823818651904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 366289758787 + ... + 366289759165.

Almost surely, 2^{138823818651904} is an apocalyptic number.

138823818651904 is the 11782352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138823818651904

138823818651904 is an abundant number, since it is smaller than the sum of its proper divisors (153284487112553).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138823818651904 is an frugal number, since it uses more digits than its factorization.

138823818651904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 67.

The spelling of 138823818651904 in words is "one hundred thirty-eight trillion, eight hundred twenty-three billion, eight hundred eighteen million, six hundred fifty-one thousand, nine hundred four".